Detail publikačního výsledku

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

HINTERLEITNER, I.; MIKEŠ, J.; STEPANOVA, E.

Originální název

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

Anglický název

On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind

Druh

Kapitola, resp. kapitoly v odborné knize

Originální abstrakt

Many authors have studied Riemannian manifolds admitting a geodesic mapping. Fundamental results of the theory of geodesic mapping were settled by Sinyukov. In the present paper we analyze the Sinykov equations of the geodesic mappings of Riemannian manifolds by using the curvature operator of the second kind. This approach to the study of geodesic mapping is essentially new.

Anglický abstrakt

Many authors have studied Riemannian manifolds admitting a geodesic mapping. Fundamental results of the theory of geodesic mapping were settled by Sinyukov. In the present paper we analyze the Sinykov equations of the geodesic mappings of Riemannian manifolds by using the curvature operator of the second kind. This approach to the study of geodesic mapping is essentially new.

Klíčová slova

Fundamental equation, geodesic mapping, Riemannian manifold

Klíčová slova v angličtině

Fundamental equation, geodesic mapping, Riemannian manifold

Autoři

HINTERLEITNER, I.; MIKEŠ, J.; STEPANOVA, E.

Vydáno

01.01.2014

Nakladatel

Springer Berlin Heidelberg

Místo

Mulhouse, France

ISBN

978-3-642-55361-5

Kniha

Algebra, Geometry and Mathematical Physics

Strany od

489

Strany do

494

Strany počet

5

BibTex

@inbook{BUT111740,
  author="Irena {Hinterleitner} and Josef {Mikeš} and Elena {Stepanova}",
  title="On Sinyukov's Equations in Their Relation to a Curvature Operator of Second Kind",
  booktitle="Algebra, Geometry and Mathematical Physics",
  year="2014",
  publisher="Springer Berlin Heidelberg",
  address="Mulhouse, France",
  edition="85",
  pages="489--494",
  doi="10.1007/978-3-642-55361-5\{_}28",
  isbn="978-3-642-55361-5"
}